Generalized modular fractal spaces and fixed point theorems

被引：3
|
作者：
Alihajimohammad, Alireza [1 ]
Saadati, Reza [2 ]
机构：
[1] Islamic Azad Univ, Sci & Res Branch, Dept Math, Tehran, Iran
[2] Iran Univ Sci & Technol, Sch Math, Tehran, Iran
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期
关键词：
Modular metric spaces; Hausdorff distance; Fixed points; Modular fractal space; METRIC SPACES;
D O I：
10.1186/s13662-021-03538-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we introduce a new concept of Hausdorff distance through generalized modular metric on nonempty compact subsets and study some topological properties of it. This concept with contraction theory and the iterated function system (IFS) helps us to define a generalized modular fractal space.
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收藏
页数：10
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